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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The centre of the circle x2+y2 -2fx-2gy+x=0 is
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(-g,-f)
(g,f)
(f,g)
(-f,-g)
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Question # 2
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10
C
6
10
C
5
10
C
4
None
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Question # 3
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Question # 4
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Question # 5
y=0 of the parabola y
2
= 4ax is the
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equation of directirx
Equatio of the tangent
Equation of axis
equation of latus rectum
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Question # 6
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Question # 7
Through how many radians does the minute hand of a clock turn in one hour
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Question # 8
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(a - c)
2
= b
2
- c
2
(a - c)
2
= b
2
+ c
2
(a + c)
2
= b
2
- c
2
(a + c)
2
= b
2
+ c
2
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Question # 9
If k2x2 +2hxy- 4y2 =0 represents two perpendicular lines then
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k = 2
k = ±2
k = -2
k ≠0
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Question # 10
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Question # 11
The order of the matrix A is 3 x 2 and that of B is 2 x 3. The order of the matrix BA is
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3 x 3
3 x 2
2 x 5
5 x 2
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Question # 12
If f(x) = x
2
then f(2) is
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-2
2
4
-4
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Question # 13
0 (zero) is
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An irrational number
A rational number
A negative integer
A positive number
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Question # 14
A rule or correspondence that assigns to each element x in X a unique element y in Y is called a function from
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X to X
X to Y
Y to X
none of these
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Question # 15
If a and b are real numbers then a+b is also real number this law is called
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associative law of addition
closure law of addition
Distributive law of addition
Commutative law of addition
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Question # 16
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none of these
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Question # 17
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Question # 18
The tangents drawn from the point P to a circle are imaginary if
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P is on the circle
P is inside the circle
P is outside the circle
none of these
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Question # 19
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Question # 20
The slope of the normal at the point (at
2
, 2at) of the parabola y
2
= 4ax is
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1/t
t
-t
-1/t
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Question # 21
If 2x +y + λ =0 is normal to parabola y2 =-8x,λ= _____
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12
8
24
-24
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Question # 22
If the line 2x -y +k =0 is a diameter of the circle x2 +y2 +6x -6y +5 =0 then k is equal to
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12
9
6
3
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Question # 23
If 5,7 and 9 are A.Ms between a and b, then a and b is equal to
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2 and 12
1 and 10
3 and 11
-7 and 2
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Question # 24
Which one represents a sequence
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an
Sn
a(n)
{an}
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Question # 25
The 31 term of the A.P 5,2,-1.....is
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-82
82
85
-85
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Question # 26
Z is the set of integers (Z.*) is a group with a * b = a +b +1, a,b ∈ G.then inverse of a is
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-a
a +1
-1-a
None of these
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Question # 27
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Question # 28
The sample space for tossing a coin once is
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{T, T}
{H, H}
{H, T}
None of these
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Question # 29
sin5θ+sin3θ = _______;
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2sin 4θ cosθ
2cos 4θ sinθ
2cos 4θ cosθ
-2sin 4θ sinθ
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Question # 30
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Question # 31
∫ x cos dx is equal to :
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x cos x + sin x
cos x + x sin x
x cos x + x sin x
x sin x + cos x
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Question # 32
The negative square root of 9 can be written as:
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-√9
√9
√18
-√18
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Question # 33
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additive property
multiplicative property
additive inverse
additive identity
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Question # 34
If x
2
- 7x + a has remainder 1 when divided by x + 1, then a = ______
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-7
7
0
None of these
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